16896864 has 96 divisors (see below), whose sum is σ = 46884096. Its totient is φ = 5322240.

The previous prime is 16896863. The next prime is 16896889. The reversal of 16896864 is 46869861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16896863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237949 + ... + 238019.

It is an arithmetic number, because the mean of its divisors is an integer number (488376).

Almost surely, 2^16896864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16896864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442048).

16896864 is an abundant number, since it is smaller than the sum of its proper divisors (29987232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16896864 is a wasteful number, since it uses less digits than its factorization.

16896864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 16896864 is about 4110.5795211868. The cubic root of 16896864 is about 256.6071202356.

The spelling of 16896864 in words is "sixteen million, eight hundred ninety-six thousand, eight hundred sixty-four".